Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences
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Michigan State University Press
2025
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| Acceso en línea: | http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2347 |
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I71-R177-UNGS-23472025-07-29T18:07:03Z Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences Corvalán, Álvaro A? classes Maximal operators Matemáticas Revista con referato Fil: Corvalán, Álvaro. Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano; Argentina. The purpose of this paper is to give some characterizations of the weight functions w such that Mw∈A∞(Rn). We show that, for these Mw weights, being in A∞ ensures being in A1. We give a criterion in terms of the local maximal functions and we present a pair of applications, one of them similar to the Coifman-Rochberg characterization of A1 but using functions of the form (f#)δ and (mλu)δ instead of (Mf)δ. 2025-07-29T18:04:54Z 2025-07-29T18:04:54Z 2019 info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion Corvalán, A. (2019). Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences. Real Anal. Exchange, 44(1), 141-166. 0147-1937 http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2347 eng https://doi.org/10.14321/realanalexch.44.1.0141 info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf application/pdf Michigan State University Press Real Anal. Exchange. 2019; 44(1): 141-166 https://projecteuclid.org/journals/real-analysis-exchange/volume-44/issue-1 |
| institution |
Universidad Nacional de General Sarmiento |
| institution_str |
I-71 |
| repository_str |
R-177 |
| collection |
Repositorio Institucional Digital de Acceso Abierto (UNGS) |
| language |
Inglés |
| orig_language_str_mv |
eng |
| topic |
A? classes Maximal operators Matemáticas |
| spellingShingle |
A? classes Maximal operators Matemáticas Corvalán, Álvaro Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences |
| topic_facet |
A? classes Maximal operators Matemáticas |
| description |
Revista con referato |
| format |
Artículo Artículo publishedVersion |
| author |
Corvalán, Álvaro |
| author_facet |
Corvalán, Álvaro |
| author_sort |
Corvalán, Álvaro |
| title |
Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences |
| title_short |
Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences |
| title_full |
Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences |
| title_fullStr |
Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences |
| title_full_unstemmed |
Some Characterizations of the Preimage of A∞ for the Hardy-Littlewood Maximal Operator and Consequences |
| title_sort |
some characterizations of the preimage of a∞ for the hardy-littlewood maximal operator and consequences |
| publisher |
Michigan State University Press |
| publishDate |
2025 |
| url |
http://repositorio.ungs.edu.ar:8080/xmlui/handle/UNGS/2347 |
| work_keys_str_mv |
AT corvalanalvaro somecharacterizationsofthepreimageofaforthehardylittlewoodmaximaloperatorandconsequences |
| _version_ |
1842217802468950016 |